Eve battle depended on missions really. The thing with Eve is, it's a MMO, so you work your heart out to get your ship. So if you spend 2 months to buy ship X, and in a day it blows up, you kinda feel sad. So that's why the battles might not happen as much in Eve.
Eve as a game is a huge time sink, they really have thought of as many things you can think of to occupy your time. However, it's not a Action game, so you don't directly control your ship with a joystick, it's mostly point and click commands.